What is the capacitive reactance of a capacitor with a capacitance of 10μF at a

Practice Questions

Q1
What is the capacitive reactance of a capacitor with a capacitance of 10μF at a frequency of 50Hz? (2020)
  1. 318.31 ohms
  2. 159.15 ohms
  3. 31.83 ohms
  4. 15.92 ohms

Questions & Step-by-Step Solutions

What is the capacitive reactance of a capacitor with a capacitance of 10μF at a frequency of 50Hz? (2020)
  • Step 1: Identify the formula for capacitive reactance (Xc), which is Xc = 1 / (2πfC).
  • Step 2: Identify the values needed for the formula: frequency (f) is 50 Hz and capacitance (C) is 10μF (which is 10 × 10^-6 F).
  • Step 3: Substitute the values into the formula: Xc = 1 / (2π × 50 × 10 × 10^-6).
  • Step 4: Calculate the denominator: 2π × 50 × 10 × 10^-6 = 0.00031416.
  • Step 5: Calculate Xc by taking the reciprocal of the denominator: Xc = 1 / 0.00031416.
  • Step 6: Perform the calculation to find Xc: Xc ≈ 318.31 ohms.
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